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2 years ago

If f(x) = x2 is vertically stretched by a factor of 4 to g(x) and reflected over the x-axis, what is the equation for g(x)?

Mathematics

1 answer:

alexdok [17]2 years ago

8 0

Step-by-step explanation:

integral fx = gx, gx = fx

gx = -4x2

variable of x2 = replace to left side it mean we got minus when Variable replace to left it mean minus

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The Great Pyramid has a height (h) of about 480 ft, a slant height (l) of about 560 ft and a square base of 756 ft. What is the

suter [353]

Answer: 91,445,760 ft³

Step-by-step explanation:

You know that the base of this pyramid is a square, then you can use the following formula to calculate its volume:

$V=\frac{s^2h}{3}$

Where "s" is the lenght of any side of the base of the pyramid and "h" is the height of the pyramid.

You know that:

$h=480ft\\s=756ft$

Then, you can substitute these values into the formula. So, you get that the volume of The Great Pyramid is:

$V=\frac{(756ft)^2(480ft)}{3}=91,445,760ft^3$

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3 years ago

I need help with this math

Zinaida [17]

Answer:

Step-by-step explanation:

∠1 + ∠2 = 180 {Supplementary angles}

6x + 15 + 3x + 3 = 180

6x + 3x + 15 + 3 = 180

Combine like terms

9x + 18 = 180

Subtract 18 from both sides

9x = 180 - 18

9x = 162

x = 162/9

x = 18

∠2 = 3x +3

= 3*18 + 3

= 54 + 3

∠2 = 57°

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2 years ago

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What is the simplified form of the expression 1/2 (2x + 6).

kakasveta [241]

1/2(2x+6)
Substitute the one half to both of the numbers inside the parentheses.
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X+3

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2 years ago

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At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro

Gnom [1K]

Answer:

A sample of 1068 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of $\pi$ , so we use the worst case scenario, which is $\pi = 0.5$

Then

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}$

$n = 1067.11$

Rounding up

A sample of 1068 is needed.

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2 years ago

If p is a true statement and q is false, what is the truth value of p ∨ q?

ZanzabumX [31]

P V q = T V F = T

so, pVq is true.

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2 years ago

If f(x) = x2 is vertically stretched by a factor of 4 to g(x) and reflected over the x-axis, what is the equation for g(x)?​

If f(x) = x2 is vertically stretched by a factor of 4 to g(x) and reflected over the x-axis, what is the equation for g(x)?